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Finding the Third Proportional to 126,764 and 268,024

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Solution

The third proportional to 126,764 and 268,024 is: 566,697.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,764 : 268,024 = 268,024 : x
  2. Step 2: Convert to fraction form
    126,764/268,024 = 268,024/x
  3. Step 3: Cross multiply
    126,764x = 268,024 × 268,024
  4. Step 4: Simplify right side
    126,764x = 71,836,864,576
  5. Step 5: Solve for x
    x = 71,836,864,576/126,764
  6. Step 6: Final answer
    x = 566,697.68

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.